Tutors Answer Your Questions about Permutations (FREE)
Question 1186635: How many ways can 6 people sit together in a row
a) If two people sit together?
b) How many ways can 6 people sit in a circle of two people sit together?
Please explain my second homework question to me. Thank you!
Click here to see answer by ikleyn(52780)  |
Question 1187133: The Rodeo Club has 5 seniors, 17 juniors, 14 sophomores, and 10 freshmen. In how many ways can 2 representatives be selected if the selection must be composed of a senior and a freshman or a junior and a sophomore?
Click here to see answer by ikleyn(52780)  |
Question 1187402: The questions are as follows:
On a shelf there are 4 different mathematics books and 8 different English books.
i) The books are to be arranged so that the mathematics books are together. In how many different ways can this be done?
Answer: 4!*9! = 8 709 120
I did not have any problem with the question and answer above, but the problem is the next one:
ii) What is the probability that none of the mathematics books are next to each other?
The working given for this question is ((8!)*(9P4))/(12!), but could anyone explain what is the logic behind this working?
Click here to see answer by ikleyn(52780)  |
Question 1187512: Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 14 of the 41 boxes on the shelf have the secret decoder ring. The other 27 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?
Click here to see answer by ikleyn(52780)  |
Question 1187589: In a school club, there are 5 possible choices for president, a secretary, a treasurer, and an auditor. Assuming that each of them is qualified for any of these positions, in how many ways can the officers be selected?
Click here to see answer by ikleyn(52780)  |
Question 1188819: We have a deck of 10 cards numbered from 1 to 10. Some are grey and some are white. The cards numbered 1,7 , and 9 are grey. The cards numbered 2,3 ,4,5 , 6 ,8 , and 10 are white. A card is drawn at random. Let be the event that the drawn card is grey, and let be the probability of . Let not be the event that the drawn card is not grey, and let not be the probability of not . (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column enter the probability of the event
Click here to see answer by ikleyn(52780)  |
Question 1188893: You need to choose a password for computer account. The rule is that the
password must consist of two lowercase letter (a to z) followed by one capital letter (A to
Z) followed by four digits (0, 1, ..., 9)For example the following is a vid password:
jvR1214
Find the total number of possible passwords, N.
Click here to see answer by ikleyn(52780)  |
Question 1188892: A math teacher will split her class of 15 students into three groups with five
students in each group. One group will go for online class, a second group will have the
modular class and the third group will be a face to face class. In how many ways can the
teacher form the groups for online, modular and face to face class?
Click here to see answer by ikleyn(52780)  |
Question 1188892: A math teacher will split her class of 15 students into three groups with five
students in each group. One group will go for online class, a second group will have the
modular class and the third group will be a face to face class. In how many ways can the
teacher form the groups for online, modular and face to face class?
Click here to see answer by greenestamps(13200)  |
Question 1189186: Alicia is arranging photographs of five family members in a row on her refrigerator. If she wants the photograph of her mother and the photograph of her father to be on opposite ends of the row, how many arrangements for the photograph are possible?
Click here to see answer by ikleyn(52780)  |
Question 1189221: A committee of six is to be chosen from the 20 members of the student council. In how many ways can this be done if:
A. There are no restrictions.
B. There are twelve junior members and 8 senior members and the committee must include 2 junior and four senior members?
C. There must be at least 2 senior members on the committee. ( I need help with this one in particular)
Click here to see answer by ikleyn(52780)  |
Question 1189221: A committee of six is to be chosen from the 20 members of the student council. In how many ways can this be done if:
A. There are no restrictions.
B. There are twelve junior members and 8 senior members and the committee must include 2 junior and four senior members?
C. There must be at least 2 senior members on the committee. ( I need help with this one in particular)
Click here to see answer by math_tutor2020(3816) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035
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